What is the Greatest Common Factor of 99760 and 99775?

Greatest common factor (GCF) of 99760 and 99775 is 5.

GCF(99760,99775) = 5

We will now calculate the prime factors of 99760 and 99775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99760 and 99775.

How to find the GCF of 99760 and 99775?

We will first find the prime factorization of 99760 and 99775. After we will calculate the factors of 99760 and 99775 and find the biggest common factor number .

Step-1: Prime Factorization of 99760

Prime factors of 99760 are 2, 5, 29, 43. Prime factorization of 99760 in exponential form is:

99760 = 2⁴ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 99775

Prime factors of 99775 are 5, 13, 307. Prime factorization of 99775 in exponential form is:

99775 = 5² × 13¹ × 307¹

Step-3: Factors of 99760

List of positive integer factors of 99760 that divides 99760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 43, 58, 80, 86, 116, 145, 172, 215, 232, 290, 344, 430, 464, 580, 688, 860, 1160, 1247, 1720, 2320, 2494, 3440, 4988, 6235, 9976, 12470, 19952, 24940, 49880

Step-4: Factors of 99775

List of positive integer factors of 99775 that divides 99760 without a remainder.

1, 5, 13, 25, 65, 307, 325, 1535, 3991, 7675, 19955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99760 and 99775. The biggest common factor number is the GCF number.
So the greatest common factor 99760 and 99775 is 5.

Also check out the Least Common Multiple of 99760 and 99775